Open AccessStationary states for discrete dynamical systems in the plane
Author(s) -
Jorge Aarão,
Mario Martelli
Publication year - 2002
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2002.022
Subject(s) - counterexample , mathematics , fixed point , dynamical systems theory , plane (geometry) , contraction (grammar) , pure mathematics , identity (music) , discrete mathematics , mathematical analysis , geometry , physics , medicine , quantum mechanics , acoustics
The existence of a fixed point for maps of the form {\it Identity} + {\it Contraction}acting on $\mathbb R^2$ is established under quite general conditions.A counterexample is given in $\mathbb R^3$.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom